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Finding the Third Proportional to 67,054.50 and 139,619.25

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Solution

The third proportional to 67,054.50 and 139,619.25 is: 290,711.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,054.50 : 139,619.25 = 139,619.25 : x
  2. Step 2: Convert to fraction form
    67,054.50/139,619.25 = 139,619.25/x
  3. Step 3: Cross multiply
    67,054.50x = 139,619.25 × 139,619.25
  4. Step 4: Simplify right side
    67,054.50x = 19,493,534,970.56
  5. Step 5: Solve for x
    x = 19,493,534,970.56/67,054.50
  6. Step 6: Final answer
    x = 290,711.81

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.